SOLUTION: simplify: {{{ (9q^3 - 4) - (7q^2 - 5) + (7q^3 + 2q^2) }}}

Algebra ->  Algebra  -> Expressions -> SOLUTION: simplify: {{{ (9q^3 - 4) - (7q^2 - 5) + (7q^3 + 2q^2) }}}      Log On

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Question 153286: simplify: +%289q%5E3+-+4%29+-+%287q%5E2+-+5%29+%2B+%287q%5E3+%2B+2q%5E2%29+
Found 2 solutions by orca, jim_thompson5910:
Answer by orca(409) About Me  (Show Source):
You can put this solution on YOUR website!

First remove the parentheses.
Next combine like terms.
+%289q%5E3+-+4%29+-+%287q%5E2+-+5%29+%2B+%287q%5E3+%2B+2q%5E2%29+
=+9q%5E3+-+4+-+7q%5E2+%2B+5+%2B+7q%5E3+%2B+2q%5E2+
=9q%5E3%2B7q%5E3-7q%5E2%2B2q%5E2-4%2B5
=16q%5E3-5q%5E2%2B1

Answer by jim_thompson5910(21667) About Me  (Show Source):
You can put this solution on YOUR website!
+%289q%5E3+-+4%29+-+%287q%5E2+-+5%29+%2B+%287q%5E3+%2B+2q%5E2%29+ Start with the given equation.


+9q%5E3+-+4+-+7q%5E2+%2B+5+%2B+7q%5E3+%2B+2q%5E2+ Distribute the negative


%289q%5E3%2B7q%5E3%29%2B%28-7q%5E2%2B2q%5E2%29%2B%28-4%2B5%29 Group the common terms


16q%5E3-5q%5E2%2B1 Combine like terms



So %289q%5E3+-+4%29+-+%287q%5E2+-+5%29+%2B+%287q%5E3+%2B+2q%5E2%29=16q%5E3-5q%5E2%2B1